(b) Determine the speed (expressed as a multiple of the speed of light) of a neutron that has the same momentum as the particle. When calculating gamma factors, keep values to six places beyond the decimal point and then round your final answer to three significant figures.

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Chapter1: Units, Trigonometry. And Vectors
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Part b please 

A particle with a mass three times that of an electron is moving at a speed of 0.755c.
(a) Determine the speed (expressed as a multiple of the speed of light) of a neutron that has the same kinetic energy as the particle. When calculating gamma factors, keep values to
six places beyond the decimal point and then round your final answer to three significant figures.
0.04136
(b) Determine the speed (expressed as a multiple of the speed of light) of a neutron that has the same momentum as the particle. When calculating gamma factors, keep values to
six places beyond the decimal point and then round your final answer to three significant figures.
How are the momentum, total energy, and rest energy related? See if you can express the momentum in terms of the gamma factor and mass. Knowing the speed of the particle,
how can you determine the gamma factor for the particle? Recall that the momentum of the neutron is the same as that of the particle. See if you can obtain an expression for the
gamma factor of the neutron in terms of known information. Knowing the gamma factor for the neutron, how can you determine the speed of the neutron?c
Transcribed Image Text:A particle with a mass three times that of an electron is moving at a speed of 0.755c. (a) Determine the speed (expressed as a multiple of the speed of light) of a neutron that has the same kinetic energy as the particle. When calculating gamma factors, keep values to six places beyond the decimal point and then round your final answer to three significant figures. 0.04136 (b) Determine the speed (expressed as a multiple of the speed of light) of a neutron that has the same momentum as the particle. When calculating gamma factors, keep values to six places beyond the decimal point and then round your final answer to three significant figures. How are the momentum, total energy, and rest energy related? See if you can express the momentum in terms of the gamma factor and mass. Knowing the speed of the particle, how can you determine the gamma factor for the particle? Recall that the momentum of the neutron is the same as that of the particle. See if you can obtain an expression for the gamma factor of the neutron in terms of known information. Knowing the gamma factor for the neutron, how can you determine the speed of the neutron?c
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